Question

Geometry Question Please Help!!!!

Answer 1

The equation of a parabola is given by $f(x)=a(x-h)^{2}+k$ where $(h,k)$ is the vertex.

We have the vertex is (-3,-2) so we have $h=-3$ and $k=-2$

Substituting -3 and -2 into the $f(x)$
$f(x)=a(x--3)^{2}+(-2)$
$f(x)=a(x+3)^{2}-2$

Hence, the correct answer is option D